Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 496, 250, 33, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 250, 33, 497 is 1
GCD(496, 250, 33, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 250, 33, 497 is 1
GCD(496, 250, 33, 497) = 1
Given Input numbers are 496, 250, 33, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 496, 250, 33, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 250, 33, 497 is 1.
Therefore, GCD of numbers 496, 250, 33, 497 is 1
Given Input Data is 496, 250, 33, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 33 is 3 x 11
Prime Factorization of 497 is 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(496, 250) = 62000
GCD(496, 250) = ( 496 x 250 ) / 62000
GCD(496, 250) = 124000 / 62000
GCD(496, 250) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 33) = 66
GCD(2, 33) = ( 2 x 33 ) / 66
GCD(2, 33) = 66 / 66
GCD(2, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
GCD(1, 497) = 497 / 497
GCD(1, 497) = 1
GCD of 496, 250, 33, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 250, 33, 497?
GCD of 496, 250, 33, 497 is 1
2. Where do I get the detailed procedure to find GCD of 496, 250, 33, 497?
You can find a detailed procedure to find GCD of 496, 250, 33, 497 on our page.
3. How to find GCD of 496, 250, 33, 497 on a calculator?
You can find the GCD of 496, 250, 33, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.